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Finding the Fourth Proportional to 117,340.56, 161,887.55 and 77,076

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Solution

The fourth proportional to 117,340.56, 161,887.55 and 77,076 is: 106,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,340.56 : 161,887.55 = 77,076 : x
  2. Step 2: Convert to fraction form
    117,340.56/161,887.55 = 77,076/x
  3. Step 3: Cross multiply
    117,340.56x = 161,887.55 × 77,076
  4. Step 4: Simplify right side
    117,340.56x = 12,477,644,418.42
  5. Step 5: Solve for x
    x = 12,477,644,418.42/117,340.56
  6. Step 6: Final answer
    x = 106,337.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.